Live Activity Content Density

Nucleic-Session: B3643133-163C-4C5D-BE20-1A6B7FB83DA9
Co-authored-by: Nucleic <[email protected]>

NucleicRemote/NucleicRemote/Models/RemoteStore.swift

@@ -86,6 +86,11 @@ final class RemoteStore: ObservableObject {
     /// `RootView` switches to the Sessions tab; `SessionsView` pushes it and clears.
     @Published var pendingRoute: SessionID?
 
+    /// A request to surface the sessions list itself, no specific session — the Live Activity's
+    /// "work running, nothing waiting" tap. Compact jumps to the Sessions tab; the iPad split
+    /// reveals its sidebar (which always lists sessions). One-shot: the shell clears it.
+    @Published var pendingSessionsList = false
+
     /// Whether the app is foreground-active (scene phase), mirrored here so the store can
     /// decide which transitions deserve a notification.
     private(set) var isActive = true
@@ -95,6 +100,19 @@ final class RemoteStore: ObservableObject {
     /// Route to a session from a notification tap (deep link).
     func route(to sessionID: SessionID) { pendingRoute = sessionID }
 
+    /// Ask the shell to show the sessions list (no specific session opened).
+    func showSessionsList() { pendingSessionsList = true }
+
+    /// Follow a `nucleic://` deep link — the Live Activity tap. A session waiting on the user
+    /// opens straight into that session; the plain sessions link just surfaces the list.
+    func handleDeepLink(_ url: URL) {
+        switch NucleicDeepLink.route(for: url) {
+        case .session(let id): route(to: SessionID(rawValue: id))
+        case .sessionsList: showSessionsList()
+        case .none: break
+        }
+    }
+
     /// An Allow/Deny straight from a notification action (UX_IOS §5.1). Requires a live
     /// channel; if the socket dropped while backgrounded, reconnect and send once ready —
     /// but only briefly (a stale queued approval must never fire minutes later; see